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You are an engineer in charge of designing the dimensions of a box-like building. The base is rectangular in shape with width being twice as large as length. (Therefore so is the ceiling.) The volume is to be 9000000 m3. Local bylaws stipulate that the building must be no higher than 50 m. Suppose the walls cost twice as much per m2 as the ceiling, and suppose the floor (i.e.base) costs nothing. Find the dimensions of the building that would minimize the cost.
length is = m.width is = m.height is = m.
Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
The answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G.
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
A television network had 13 drama pilots to fill 5 remaining time slots in the Fall 2007 lineup; 10pm Monday, 10pm Wednesday, 10 pm Thursday, 9pm Friday, 10pm Sunday. How many different new drama line-ups are possible?
Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
Solving the word problem using the properties of similar triangles
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
Important information about Probability and Statistics Find the probability distribution of the value x. mean , variance and standard derivation
Finding the solution for the specified variable in the given equation and Solve: 3xy = wyz
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